While the nonlinear term in Eq. (REF ) approximates growth of the front or interface profile \(h\)  along the local normal direction and the noise term introduces the stochasticity of microscopic growth events in space and time, the diffusive linear term induces a local smoothening mechanism in which \(\nu \)  plays the role of a surface tension parameter [1]}, [2]}. In absence of this smoothening mechanism, Eq. (REF ) becomes the so-called tensionless KPZ equation, namely,
\(\partial _t h = \frac{\lambda }{2} (\nabla h)^2 + \eta .\) 
